§26.19 Mathematical Applications

Combinatorics has applications to analysis, algebra, and geometry. Examples
can be found in Beckenbach (1981), Billera et al. (1996), and
Lovász et al. (1995). Partitions and plane partitions have applications to
representation theory (Bressoud (1999), Macdonald (1995),
and Sagan (2001)) and to special functions (Andrews et al. (1999)
and Gasper and Rahman (2004)).

Other areas of combinatorial analysis include graph theory, coding theory, and
combinatorial designs. These have applications in operations research,
probability theory, and statistics. See Graham et al. (1995) and
Rosen et al. (2000).